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Katen [24]
3 years ago
5

Solve for x. 3^x−1=9^x+2 Enter your answer in the box.

Mathematics
1 answer:
slava [35]3 years ago
4 0

Answer:

-5 =x

Step-by-step explanation:

3^(x-1) = 9^(x+2)

Replace 9 with 3^2

3^(x-1) = 3^2^(x+2)

We know that a power to a power means the powers are multiplied

a^b^c = a^(b*c)

3^(x-1) = 3^(2x+2)

When the bases are the same, the powers have to be the same

x-1 = 2x+4

Subtract x from each side

x-x-1 =2x-x+4

-1 =x+4

Subtract 4 from each side

-1-4 =x+4-4

-1-4 = x

-5 =x

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4 years ago
A rectangle has an area of 96 sq ft if the width of the yard is 4 ft less than the length, what is the perimeter in ft of the ya
Veronika [31]
The area of a rectangle is obtained through the equation,
  
                                  A = L x W 

The width of the yard is 4 ft less than the length and may be expressed as L - 4. Length may be solved through the following steps,
   
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The length and width are 12 ft and 8 ft, respectively. Perimeter may be solved through the equation,
 
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Substituting the values of L and W
 
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Therefore, the perimeter of the yard is 40 ft. 




6 0
3 years ago
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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